I know that Tschak used NUCs in general, I do not know which one in specific.
Due to last minute changes of Ubuntu to the way MySQL works/which MySQL version is being used within 1604, we were unable to switch to 1604. We, mainly phenigma, is working to clear things out, which isn't a small issue, as sqlCVS, our main way of storing database information centrally, uses MySQL in a way that isn't really compatible with the new way of doing things. That's why we haven't published a working set of 1604 binaries so far.
Sorry for not being able to help you more, but maybe searching for the ubuntu 1404 and your NUCs specifics will provide a solution to get Ubuntu running on your hardware. Once that has been accomplished, LinuxMCE should install just fine.